Higher Order Differential Equations: Example Heun's Method: Part 1 of 3


Learn how to use Runge Kutta 2nd order method - Heun's method to solve higher order differential equation. This is Part 1 of 3 of the lecture.


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Gauss-Seidel Method of Solving Simultaneous Linear Equations: Example: Part 1 of 2


Learn via example how Gauss-Seidel method of solving simultaneous linear equations works.


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LU Decomposition Method: Decomposing a Matrix Example: Part 1 of 2


Learn via an example how to take a square matrix [A] and decompose it into LU form.


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Shooting Method: Example: Part 1 of 4


Learn how to use shooting method to solve boundary value problems for an ordinary differential equation


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Subtracting Two Matrices


Learn how to subtract two matrices


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Runge Kutta 2nd Order Method Derivation: Part 1 of 2


Learn how Runge-Kutta 2nd order method of solving ordinary differential equations is derived.


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Euler's Method: Example


Learn the Euler's method of solving a first order ordinary differential equation via an example. Click on the links in the video to see how Euler's method is derived, and how it is used to estimate integrals.


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Runge Kutta 4th Order Method: Example Part 1 of 2


Learn via an example of how to use Runge Kutta 4th order method to solve a first order ordinary differential equation.


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Gauss Quadrature Rule: Example


Learn via example how to apply the Gauss quadrature formula to estimate definite integrals.


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LU Decomposition Method: Decomposing a Matrix Example: Part 2 of 2


Learn via an example how to take a square matrix [A] and decompose it into LU form.


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Gaussian Elimination with Partial Pivoting: Example: Part 1 of 3 (Forward Elimination)


Learn via example how to solve simultaneous linear equations using Gaussian elimination with partial pivoting.


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Quadratic Spline Interpolation: Theory Part 1 of 2


Learn the theory behind the quadratic spline interpolation.


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Secant Method Example


Learn via example the secant method of solving a nonlinear equation


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Midpoint method: Runge Kutta 2nd Order Method: Example


Learn the midpoint version of Runge-Kutta 2nd order method to solve ordinary differential equations.


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Gaussian Elimination with Partial Pivoting


We are trying to record lectures with Camtasia and a Smart Monitor in our offices. This is a sample video of Gaussian Elimination with Partial Pivoting


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Newton-Raphson Method: Example


Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0


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Romberg Integration: Theory: Part 1 of 2


Learn the Romberg integration method. numericalmethods.eng.usf.edu


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Spline Interpolation: Linear Spline: Theory


Learn the theory behind linear spline interpolation.


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Multiple Segment Trapezoidal Rule: Example Part 1


Learn via an example the multiple segment trapezoidal rule.


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Newton's Divided Difference Polynomial: Linear Interpolation: Example


Learn Newton's divided difference polynomial method by following the linear interpolation example


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Linear Regression: Example


Learn via an example how to regress data to a straight line


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Linear Regression: Background: Part 1 of 2


Learn the background of linear regression of how the minimization criterion is selected.


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Romberg Integration: Theory: Part 2 of 2


Learn the Romberg method of integration


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Naive Gaussian Elimination: Example: Part 2 of 2 (Back Substitution)


Learn the naive Gauss elimination Method of solving simultaneous linear equations. This video shows you the back substitution part of the method


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Lagrangian Interpolation - Theory


Learn Lagrangian interpolation formula


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Spline Interpolation: Linear Spline: Example


Learn linear spline interpolation via example


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Direct Method of Interpolation: Linear Interpolation


Learn the direct method of linear polynomial interpolation


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Finite Difference Method for Solving ODEs: Example: Part 1 of 2


Learn via an example how you can use finite difference method to solve boundary value ordinary differential equations.


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Gaussian Elimination with Partial Pivoting: Example: Part 2 of 3 (Forward Elimination)


Learn via example how to solve simultaneous linear equations using Gaussian elimination with partial pivoting.


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Runge Kutta 4th Order Method: Formulas


Learn the formulas for the Runge Kutta 4th order method


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Gauss-Seidel Method of Solving Simultaneous Linear Equations: Example: Part 2 of 2


Learn via example how Gauss-Seidel method of solving simultaneous linear equations works.


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Bisection Method: Example


Learn via an example, the bisection method of finding roots of a nonlinear equation of the form f(x)=0.


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Gauss-Seidel Method of Solving Simultaneous Linear Equations: Theory: Part 1 of 2


Learn how Gauss-Seidel method of solving simultaneous linear equations works.


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LU Decompostion Method: Example


Learn via an example of how to apply the LU decomposition method in solving simultaneous linear equations.


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Finite Difference Method for Solving ODEs: Background: Part 1 of 2


Learn the background of solving a boundary value ordinary differential equation with finite difference method.


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Gauss Quadrature Rule: Two Point Rule


Derive the 2-pt Gauss quadrature rule by the method of undetermined coefficients.


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Trapezoidal Rule of Integration: Example


Learn the trapezoidal rule of integration through a simple example.


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Quadratic Spline Interpolation: Theory Part 2 of 2


Learn the theory behind the quadratic spline interpolation.


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Simpsons 1/3 Rule of Integration: Example


Learn the Simpson's 1/3 rule of integration via an example.


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Runge Kutta 2nd Order Method: Background


Learn the background of the Runge-Kutta 2nd order method of solving an ordinary differential equation of the form dy/dx=f(x,y), y(0)=y0.


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Lagrangian Interpolation: Linear Interpolation: Example


Learn Lagrangian linear interpolation via an example


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Direct Method of Interpolation: Cubic Interpolation - Part 1


Direct Method of Interpolation: Cubic Interpolation - Part 1


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Taylor Series Revisited: Introduction


Learn what a Taylor series is all about. We are just revisiting.


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Base-10 to Base-2 Conversion: Method


See a method of how to convert a base-10 number to a base-2 number.


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Newton Raphson Method Derivation from Taylor Series


Learn how to derive Newton Raphson method from Taylor's theorem.


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Newtons Divided Difference Polynomial Interpolation: Quadratic Interpolation: Example Part 1 of 2


Learn via example the Newton's Divided Difference Polynomial method of quadratic interpolation.


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Quadratic Lagrangian Interpolation: Example: Part 1 of 2


Learn via example the quadratic Lagrangian interpolation.


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Higher Order Differential Equations: Example: Heun's Method: Part 2 of 3


Learn how to use Runge Kutta 2nd order method - Heun's method to solve higher order differential equation.


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Newton Raphson Method: Derivation


Learn how to derive the Newton Raphson method of solving a nonlinear equation of the form f(x)=0


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Richardson's Extrapolation Formula for Differentiation: Theory


Learn Richardson's extrapolation formula for differentiation. The central divided difference scheme for the first derivative is used as the basis of the used formula.


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